Home / 1,500.19-2,251.10-678.40

Finding the Fourth Proportional to 1,500.19, 2,251.10 and 678.40

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Solution

The fourth proportional to 1,500.19, 2,251.10 and 678.40 is: 1,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.19 : 2,251.10 = 678.40 : x
  2. Step 2: Convert to fraction form
    1,500.19/2,251.10 = 678.40/x
  3. Step 3: Cross multiply
    1,500.19x = 2,251.10 × 678.40
  4. Step 4: Simplify right side
    1,500.19x = 1,527,142.31
  5. Step 5: Solve for x
    x = 1,527,142.31/1,500.19
  6. Step 6: Final answer
    x = 1,017.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.